NAME _______________
Introductory Algebra – Homework 5
Sections 2.5 and 2.6
Directions: Show all work and write your final answer in the space provided.
1.
Eight subtracted from six times a number is 298. Find the number.
1. _______________
2.
Solve and write your answer using interval notation: 15  7x  9x  8
2. _______________
3.
If four times a number is added to 8, the result is three times the number added
to 5. Find the number.
3. _______________
4.
Solve and write your answer using interval notation: 7x  3  5x  3
4. _______________
5.
A 38-foot piece of wood is to be divided so that the longer piece is 2 feet more
than 3 times the shorter piece. Find the length of each piece.
5. _______________
6.
Solve and write your answer using interval notation: 
7.
One side of a triangle is one more than twice the smallest side, and the third side
of the triangle is four less than three times the smallest side. Find the length of the
longest side if the perimeter of the triangle is 123.
7. _______________
8.
Solve and write your answer using interval notation: 5(3x – 1) < -2(4 – 3x)
8. _______________
9.
Solve and write your answer using interval notation:  2(3x  4)  5(2x  1)
9. _______________
10. At a swim meet, the red team won 12 more medals than the blue team. If the total
number of medals awarded was 68. Find the number of medals the red team won.
10. _______________
11. Solve and write your answer using interval notation: 4(3 – x) – (3x + 5) > 7
11. _______________
12. The perimeter of a rectangle is 200 meters, find the length of the rectangle if the
length of the rectangle is two less than three times the width.
12. _______________
3
x  12
7
6. _______________
13. Solve and write your answer using interval notation:
5
1
7
x2 x
6
4
2
13. _______________
14. Solve and write your answer using interval notation:
–2(3x – 2) – (4x + 3) > –4x + 7
14. _______________
15. Matt has a submarine sandwich that is 58 inches long. He wants to cut it into three
pieces so that the shortest piece is 5 inches shorter than the middle piece and the
longest piece is 9 inches longer than the middle piece. How long is the longest
piece?
15. _______________
16. Solve and write your answer using interval notation:
13x  (9x 5)  6(x  5)  11
16. _______________
17. A basketball court is a rectangle with a perimeter of 86 meters. The length is 13
meters more than the width. Find the width and length of the basketball court.
17. _______________
18. Solve and write your answer using interval notation: 8x + 3 > 3(2x + 1) – x + 5
18. _______________
19. Solve and write your answer using interval notation: 4(x  1)  2  3x  6
19. _______________
20. Solve and write your answer using interval notation: 7 – 2(x – 4) < 5(1 – 2x)
20. _______________